To solve the equation \(3x = 100\), follow these steps:

### Step 1: Isolate \(x\)
We need to divide both sides of the equation by 3:
\[
x = \frac{100}{3}
\]

### Step 2: Simplify
\[
x = 33.\overline{3}
\]
The solution is \(x = 33.\overline{3}\), which is a repeating decimal.

Would you like a detailed explanation on how to handle repeating decimals or convert this to a fraction?

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Here are 5 related questions for deeper exploration:
1. How can you write repeating decimals as fractions?
2. What are other ways to approximate repeating decimals?
3. How do you solve equations with fractions, such as \(\frac{2}{3}x = 100\)?
4. What happens if you multiply both sides by a negative number?
5. How do you solve more complex linear equations involving multiple terms?

**Tip:** When dividing a number and getting a repeating decimal, you can express it as a fraction for exact representation!

Learn how to solve the linear equation 3x = 100 step-by-step, using basic algebraic concepts to isolate x. Explore related math topics, like handling repeating decimals and representing them as fractions. Suitable for students in Grades 6-8.

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